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Finding the Third Proportional to 249,748 and 382,974

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Solution

The third proportional to 249,748 and 382,974 is: 587,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,748 : 382,974 = 382,974 : x
  2. Step 2: Convert to fraction form
    249,748/382,974 = 382,974/x
  3. Step 3: Cross multiply
    249,748x = 382,974 × 382,974
  4. Step 4: Simplify right side
    249,748x = 146,669,084,676
  5. Step 5: Solve for x
    x = 146,669,084,676/249,748
  6. Step 6: Final answer
    x = 587,268.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.